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Stability of roll waves in open channel flowsStabilité de trains d'ondes dans un canal découvert |
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| Authors: | Abdelaziz Boudlal Valery Yu. Liapidevskii |
| Affiliation: | 1. Laboratoire de mécanique de Lille, URA CNRS 1441 U.S.T.L., Département de mécanique fondamentale, M3, 59655 Villeneuve d''Ascq cedex, France;2. Lavrentyev Institute of Hydrodynamics, 630090 Novosibirsk, Russia |
| Abstract: | The stability of finite amplitude roll waves that may develop at a liquid free surface in inclined open channels of arbitrary cross-section is studied. In the framework of shallow water theory with turbulent friction the modulation equations for wave series are derived and a nonlinear stability criterion is obtained. To cite this article: A. Boudlal, V.Yu. Liapidevskii, C. R. Mecanique 330 (2002) 291–295. |
| Keywords: | fluid mechanics free surface flows roll waves stability open channel flows shallow water flows mécanique des fluides écoulements à surface libre stabilité des ondes avec dicontinuités écoulements dans les canaux découverts écoulements peu profonds |
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